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Finding the Fourth Proportional to 699.49, 1,045.86 and 597.97

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Solution

The fourth proportional to 699.49, 1,045.86 and 597.97 is: 894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.49 : 1,045.86 = 597.97 : x
  2. Step 2: Convert to fraction form
    699.49/1,045.86 = 597.97/x
  3. Step 3: Cross multiply
    699.49x = 1,045.86 × 597.97
  4. Step 4: Simplify right side
    699.49x = 625,388.05
  5. Step 5: Solve for x
    x = 625,388.05/699.49
  6. Step 6: Final answer
    x = 894.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.